GCD of 343, 840, 220, 710 Calculator

Given Input numbers are 343, 840, 220, 710

In the factoring method, we have to find the divisors of all numbers

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

GCD of numbers is the greatest common divisor

So, the GCD (343, 840, 220, 710) = 1.

Given numbers are 343, 840, 220, 710

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 710 are 2 x 5 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 343, 840, 220, 710

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(343, 840) = 41160

GCD(343, 840) = ( 343 x 840 ) / 41160

= 343 / 840

= 343

Step2:

LCM(7, 220) = 1540

GCD(7, 220) = ( 7 x 220 ) / 1540

= 7 / 220

= 7

Step3:

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

= 1 / 710

= 1

So, Greatest Common Divisor of 343, 840, 220, 710 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 270, 565, 712
• GCD of 612, 947, 525, 992
• GCD of 102, 281, 757, 798
• GCD of 124, 542, 556, 390
• GCD of 486, 240, 172, 740

Given numbers are 343, 840, 220, 710
The greatest common divisor of numbers 343, 840, 220, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 840, 220, 710 is 1.

1. What is the GCD of 343, 840, 220, 710?

GCD of given numbers 343, 840, 220, 710 is 1

2. How to calculate the greatest common divisor of 343, 840, 220, 710?

We can find the highest common divisor of 343, 840, 220, 710 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 343, 840, 220, 710 i.e 1.

3. How can I use the GCD of 343, 840, 220, 710Calculator?

Out the numbers 343, 840, 220, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.